Atkin-Lehner |
11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67507h |
Isogeny class |
Conductor |
67507 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-18096621539579 = -1 · 113 · 172 · 196 |
Discriminant |
Eigenvalues |
0 -1 3 2 11- -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3851,-184127] |
[a1,a2,a3,a4,a6] |
Generators |
[2973:-33767:27] |
Generators of the group modulo torsion |
j |
134217728/384659 |
j-invariant |
L |
5.3941731256558 |
L(r)(E,1)/r! |
Ω |
0.35407763091223 |
Real period |
R |
1.2695363612732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
187a1 |
Quadratic twists by: -19 |